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the critique of pure reason-第15章

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I take away from our representation of a body all that the

understanding thinks as belonging to it; as substance; force;

divisibility; etc。; and also whatever belongs to sensation; as

impenetrability; hardness; colour; etc。; yet there is still

something left us from this empirical intuition; namely; extension and

shape。 These belong to pure intuition; which exists a priori in the

mind; as a mere form of sensibility; and without any real object of

the senses or any sensation。

  The science of all the principles of sensibility a priori; I call

transcendental aesthetic。* There must; then; be such a science forming

the first part of the transcendental doctrine of elements; in

contradistinction to that part which contains the principles of pure

thought; and which is called transcendental logic。



  *The Germans are the only people who at present use this word to

indicate what others call the critique of taste。 At the foundation

of this term lies the disappointed hope; which the eminent analyst;

Baumgarten; conceived; of subjecting the criticism of the beautiful to

principles of reason; and so of elevating its rules into a science。

But his endeavours were vain。 For the said rules or criteria are; in

respect to their chief sources; merely empirical; consequently never

can serve as determinate laws a priori; by which our judgement in

matters of taste is to be directed。 It is rather our judgement which

forms the proper test as to the correctness of the principles。 On this

account it is advisable to give up the use of the term as

designating the critique of taste; and to apply it solely to that

doctrine; which is true science… the science of the laws of

sensibility… and thus come nearer to the language and the sense of the

ancients in their well…known division of the objects of cognition into

aiotheta kai noeta; or to share it with speculative philosophy; and

employ it partly in a transcendental; partly in a psychological

signification。



  In the science of transcendental aesthetic accordingly; we shall

first isolate sensibility or the sensuous faculty; by separating

from it all that is annexed to its perceptions by the conceptions of

understanding; so that nothing be left but empirical intuition。 In the

next place we shall take away from this intuition all that belongs

to sensation; so that nothing may remain but pure intuition; and the

mere form of phenomena; which is all that the sensibility can afford a

priori。 From this investigation it will be found that there are two

pure forms of sensuous intuition; as principles of knowledge a priori;

namely; space and time。 To the consideration of these we shall now

proceed。



                   SECTION I。 Of Space。



     SS 2。 Metaphysical Exposition of this Conception。



  By means of the external sense (a property of the mind); we

represent to ourselves objects as without us; and these all in

space。 Herein alone are their shape; dimensions; and relations to each

other determined or determinable。 The internal sense; by means of

which the mind contemplates itself or its internal state; gives;

indeed; no intuition of the soul as an object; yet there is

nevertheless a determinate form; under which alone the contemplation

of our internal state is possible; so that all which relates to the

inward determinations of the mind is represented in relations of time。

Of time we cannot have any external intuition; any more than we can

have an internal intuition of space。 What then are time and space? Are

they real existences? Or; are they merely relations or

determinations of things; such; however; as would equally belong to

these things in themselves; though they should never become objects of

intuition; or; are they such as belong only to the form of

intuition; and consequently to the subjective constitution of the

mind; without which these predicates of time and space could not be

attached to any object? In order to become informed on these points;

we shall first give an exposition of the conception of space。 By

exposition; I mean the clear; though not detailed; representation of

that which belongs to a conception; and an exposition is

metaphysical when it contains that which represents the conception

as given a priori。

  1。 Space is not a conception which has been derived from outward

experiences。 For; in order that certain sensations may relate to

something without me (that is; to something which occupies a different

part of space from that in which I am); in like manner; in order

that I may represent them not merely as without; of; and near to

each other; but also in separate places; the representation of space

must already exist as a foundation。 Consequently; the representation

of space cannot be borrowed from the relations of external phenomena

through experience; but; on the contrary; this external experience

is itself only possible through the said antecedent representation。

  2。 Space then is a necessary representation a priori; which serves

for the foundation of all external intuitions。 We never can imagine or

make a representation to ourselves of the non…existence of space;

though we may easily enough think that no objects are found in it。

It must; therefore; be considered as the condition of the

possibility of phenomena; and by no means as a determination dependent

on them; and is a representation a priori; which necessarily

supplies the basis for external phenomena。

  3。 Space is no discursive; or as we say; general conception of the

relations of things; but a pure intuition。 For; in the first place; we

can only represent to ourselves one space; and; when we talk of divers

spaces; we mean only parts of one and the same space。 Moreover;

these parts cannot antecede this one all…embracing space; as the

component parts from which the aggregate can be made up; but can be

cogitated only as existing in it。 Space is essentially one; and

multiplicity in it; consequently the general notion of spaces; of this

or that space; depends solely upon limitations。 Hence it follows

that an a priori intuition (which is not empirical) lies at the root

of all our conceptions of space。 Thus; moreover; the principles of

geometry… for example; that 〃in a triangle; two sides together are

greater than the third;〃 are never deduced from general conceptions of

line and triangle; but from intuition; and this a priori; with

apodeictic certainty。

  4。 Space is represented as an infinite given quantity。 Now every

conception must indeed be considered as a representation which is

contained in an infinite multitude of different possible

representations; which; therefore; comprises these under itself; but

no conception; as such; can be so conceived; as if it contained within

itself an infinite multitude of representations。 Nevertheless; space

is so conceived of; for all parts of space are equally capable of

being produced to infinity。 Consequently; the original

representation of space is an intuition a priori; and not a

conception。



  SS 3。 Transcendental Exposition of the Conception of Space。



  By a transcendental exposition; I mean the explanation of a

conception; as a principle; whence can be discerned the possibility of

other synthetical a priori cognitions。 For this purpose; it is

requisite; firstly; that such cognitions do really flow from the given

conception; and; secondly; that the said cognitions are only

possible under the presupposition of a given mode of explaining this

conception。

  Geometry is a science which determines the properties of space

synthetically; and yet a priori。 What; then; must be our

representation of space; in order that such a cognition of it may be

possible? It must be originally intuition; for from a mere conception;

no propositions can be deduced which go out beyond the conception; and

yet this happens in geometry。 (Introd。 V。) But this intuition must

be found in the mind a priori; that is; before any perception of

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